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Simplifying 31 = 7x + 6 + -2x Reorder the terms: 31 = 6 + 7x + -2x Combine like terms: 7x + -2x = 5x 31 = 6 + 5x Solving 31 = 6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 31 + -5x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 31 + -5x = 6 + 0 31 + -5x = 6 Add '-31' to each side of the equation. 31 + -31 + -5x = 6 + -31 Combine like terms: 31 + -31 = 0 0 + -5x = 6 + -31 -5x = 6 + -31 Combine like terms: 6 + -31 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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